 | Euclides - 1838 - 264 pàgines
...is equal in the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB shall be equal to the squares of AC, CB, and to twice the rectangle AC'CB. Upon... | |
 | Euclides - 1840 - 82 pàgines
...VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. PROP. VIII. THEOR. If a straight line... | |
 | Euclides - 1840 - 192 pàgines
...straight line (AB) be divided into any two parts (AF, FB), the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. Upon AB construct the square ACDB ;... | |
 | Euclides - 1841 - 378 pàgines
...43. 1. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...whole and that part, together with the square of the otherpart. Let the straight line AB be divided into any two parts in the point C; the squares of AB,... | |
 | John Playfair - 1842 - 332 pàgines
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. L et the straight line AB be divided into any j^_ CB two parts in the point C ; the squares of AB,... | |
 | Euclides - 1842 - 316 pàgines
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in c : the square of AB is equal to the squares of AC, cв, and to twice the rectangle contained by AC,... | |
 | 1844 - 688 pàgines
...line. 7. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. 8. If two circles touch one another internally, they shall not have the same centre. 9. Draw a straight... | |
 | Great Britain. Council on Education - 1845 - 696 pàgines
...angle. 61. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. 62. To divide a given straight line into two parts, so that the rectangle contained by the whole, and... | |
 | James Wood - 1845 - 442 pàgines
...Ex. !.. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and b represent the two parts into which the given line is divided;... | |
 | Euclides - 1845 - 546 pàgines
...into any two parts, the squares of the whole line, and of one of the parts, are equal to twice ihe rectangle contained by the whole and that part, together...the square of the other part. Let the straight line All be divided into any two parts in the point C. Then the squares of AB, BC shall be equal to twice... | |
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If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... 
